On Artin-Verdier duality for function fields
β Scribed by Christopher Deninger
- Publisher
- Springer-Verlag
- Year
- 1984
- Tongue
- French
- Weight
- 459 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove an unconditional analog of Artin's conjecture for the function field of a curve over a finite field. 1 teys Acadumic Press. fnc.
Let P be a monic irreducible polynomial in F q [T ] such that d=deg P is even. We have obtained (B. AngleΓ s, 1999, J. Number Theory 79, 258 283), when q is odd, a class number congruence modulo P for the ideal class number of F q [T, -P] which is similar to the famous Ankeny Artin Chowla formula. A
Let G be a finite abelian group, it is a difficult and unsolved problem to find a number field F whose ideal class group is isomorphic to G. In [WAS], Corollary 3.9 and in [COR], Theorem 2, it is proved that every finite abelian group is isomorphic to a factor group of the ideal class group of some